Computing multihomogeneous resultants using straight-line programs

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We present a new algorithm for the computation of resultants associated with multihomogeneous (and, in particular, homogeneous) polynomial equation systems using straight-line programs. Its complexity is polynomial in the number of coefficients of the input system and the degree of the resultant com...

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Detalles Bibliográficos
Autores principales: Jeronimo, G., Sabia, J.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2007
Materias:
Multihomogeneous system
Poisson-type product formula
Sparse resultant
Symbolic Newton's algorithm
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_07477171_v42_n1-2_p218_Jeronimo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paperaa:paper_07477171_v42_n1-2_p218_Jeronimo2023-06-12T16:48:11Z Computing multihomogeneous resultants using straight-line programs J. Symb. Comput. 2007;42(1-2):218-235 Jeronimo, G. Sabia, J. Multihomogeneous system Poisson-type product formula Sparse resultant Symbolic Newton's algorithm We present a new algorithm for the computation of resultants associated with multihomogeneous (and, in particular, homogeneous) polynomial equation systems using straight-line programs. Its complexity is polynomial in the number of coefficients of the input system and the degree of the resultant computed. © 2006 Elsevier Ltd. All rights reserved. Fil:Jeronimo, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Sabia, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2007 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_07477171_v42_n1-2_p218_Jeronimo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic Multihomogeneous system
Poisson-type product formula
Sparse resultant
Symbolic Newton's algorithm
spellingShingle Multihomogeneous system
Poisson-type product formula
Sparse resultant
Symbolic Newton's algorithm
Jeronimo, G.
Sabia, J.
Computing multihomogeneous resultants using straight-line programs
topic_facet Multihomogeneous system
Poisson-type product formula
Sparse resultant
Symbolic Newton's algorithm
description We present a new algorithm for the computation of resultants associated with multihomogeneous (and, in particular, homogeneous) polynomial equation systems using straight-line programs. Its complexity is polynomial in the number of coefficients of the input system and the degree of the resultant computed. © 2006 Elsevier Ltd. All rights reserved.
format Artículo
Artículo
publishedVersion
author Jeronimo, G.
Sabia, J.
author_facet Jeronimo, G.
Sabia, J.
author_sort Jeronimo, G.
title Computing multihomogeneous resultants using straight-line programs
title_short Computing multihomogeneous resultants using straight-line programs
title_full Computing multihomogeneous resultants using straight-line programs
title_fullStr Computing multihomogeneous resultants using straight-line programs
title_full_unstemmed Computing multihomogeneous resultants using straight-line programs
title_sort computing multihomogeneous resultants using straight-line programs
publishDate 2007
url http://hdl.handle.net/20.500.12110/paper_07477171_v42_n1-2_p218_Jeronimo
work_keys_str_mv AT jeronimog computingmultihomogeneousresultantsusingstraightlineprograms
AT sabiaj computingmultihomogeneousresultantsusingstraightlineprograms
_version_ 1769810122979147776

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